Generalized Functions Using Neutrix Calculus

Name: Generalized Functions Using Neutrix Calculus
Brand: LAP Lambert Academic Publishing
SKU: 9783659243967
Price: 179.91 PLN
Availability: InStock

Computational Approach to the Operations with Generalized Functions

Autor: Adem Kilicman

Język:

Oprawa: Miękka

Wydawca: LAP Lambert Academic Publishing

Dostępność: Dostępna u dostawcy

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Generalized functions are the extension of classical functions and allow us to generalize the concep...

Informacje o książce

Autor

Adem Kilicman

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2012

strony

100

EAN

9783659243967

Enbook ID

06985652

Wydawca

LAP Lambert Academic Publishing

Waga

165

Wymiary

150 x 220 x 6

Pełny opis

Generalized functions are the extension of classical functions and allow us to generalize the concept of derivative to all continuous functions. The generalized functions have many applications in various fields especially in science and engineering where the non-continuous phenomena that naturally lead to differential equations whose solutions are not ordinary functions, such as the Dirac-delta function therefore generalized functions can help us to develop an operational calculus in order to investigate linear ordinary differential equations as well as partial differential equations with constant and non-constant coefficients through their fundamental solutions. In the present work we extend certain operations such as multiplications and convolutions to the generalized functions by using the neutrix limit approach. The essential use of the neutrix limit is to extract the finite part from a divergent quantity as one has usually done to subtract the divergent terms via rather complicated procedures in the renormalization theory. In fact we can consider the neutrices as the generalization of the Hadamard finite parts

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Generalized Functions Using Neutrix Calculus

Computational Approach to the Operations with Generalized Functions

Informacje o książce

Pełny opis

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